Add a Section - 5. Music, Temperament, and Social Concord
From The Observatory
Add a Section
The following section called The Role of the Square Root of Two that was meant to go above Summary: ‘Natural’ Tuning Versus Equal Temperament in the Chapter 5 body (where this query marker has been placed). Can you help us solve some of the queries below so we can move it back into the chapter body?
Suggest an edit or addition for these queries about the square root of 2. Join the research!
- Hudson’s Notes to Create the Section ‘The Role of the Square Root of Two’
The amount by which each tone must be tempered so that every tonal interval will be precisely equal to every other one is the 12th square root of 2.
Socrates’s numberAdd ContextCan you help us explain/elaborate on: what is Socrates’s number?—and it is about half the precession of the equinoxes—is 12,960,000.Fact CheckCan you help us check the mathematical fact here? This represents 36,002,Fact CheckCan you help us check the mathematical fact of “36,002” here? How does 12,960,000 represent 36,002? (360 days times 60 times 60) and also the product of 4,800 times 2,700, that is, 32 x 23 x 2 x 3.Fact CheckCan you help us to explain/check the math here? 32 x 23 x 2 x 3 is 4,416, which seems unrelated to this paragraph.
McClain[1] (1976: p. 80)Verify CitationCan someone help verify the page number?Dead Source LinkThe source link no longer works; Ernest G. McClain’s The Myth of Invariance appears to have been removed from the Internet Archive. Please help us find a different publicly accessible source link. believed that the six winged horses may refer to 1:2:3:4:5:6, defining everything in allegory: 3p5q < 604 = 12,960,000.Fact CheckCan you help us to check the math here?
- ↑ Ernest G. McClain, The Myth of Invariance: The Origin of the Gods, Mathematics and Music from the Rg Veda to Plato (Maine: 1976), p. 80.Dead Source LinkThe source link no longer works; Ernest G. McClain’s The Myth of Invariance appears to have been removed from the Internet Archive. Please help us find a different publicly accessible source link.
